Pseudomodes for non-self-adjoint Dirac operators

被引：4

作者：

Krejcirik, David ^{[1
]}

Duc, Tho Nguyen ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Dept Math, Trojanova 13, Prague 12000 2, Czech Republic

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2022年 / 282卷 / 12期

关键词：

Pseudospectrum; Dirac operators; Non-self-adjoint electromagnetic; potentials; WKB; SCHRODINGER-OPERATORS; PSEUDOSPECTRA; EIGENVALUES;

D O I：

10.1016/j.jfa.2022.109440

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Depending on the behaviour of the complex-valued electromagnetic potential in the neighbourhood of infinity, pseudo modes of one-dimensional Dirac operators corresponding to large pseudoeigenvalues are constructed. This is a first systematic approach which goes beyond the standard semi-classical setting. Furthermore, this approach results in substantial progress in achieving optimal conditions and conclusions as well as in covering a wide class of previously inaccessible potentials, including superexponential ones.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：53

共 30 条

[11] Eigenvalue Estimates for Non-Selfadjoint Dirac Operators on the Real Line [J].

Cuenin, Jean-Claude ;

Laptev, Ari ;

Tretter, Christiane .

ANNALES HENRI POINCARE, 2014, 15 (04) :707-736

[12] Localization of eigenvalues for non-self-adjoint Dirac and Klein-Gordon operators [J].

D'Ancona, P. ;

Fanelli, L. ;

Krejcirik, D. ;

Schiavone, N. M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 214

[13] Semi-classical states for non-self-adjoint Schrodinger operators [J].

Davies, EB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 200 (01) :35-41

[14] Pseudospectra of semiclassical (pseudo-) differential operators [J].

Dencker, N ;

Sjöstrand, J ;

Zworski, M .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2004, 57 (03) :384-415

[15]

Dimassi M, 1999, LONDON MATH SOC LECT

[16]

Embree M., 2005, The behavior of nonnormal matrices and operators

[17] Resolvent estimates and bounds on eigenvalues for Dirac operators on the half-line [J].

Enblom, Alexandra .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (16)

[18] Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators [J].

Fanelli, Luca ;

Krejcirik, David .

LETTERS IN MATHEMATICAL PHYSICS, 2019, 109 (07) :1473-1485

[19] Magnetic WKB constructions on surfaces [J].

Guedes Bonthonneau, Yannick ;

Nguyen Duc, Tho ;

Raymond, Nicolas ;

Vu Ngoc, San .

REVIEWS IN MATHEMATICAL PHYSICS, 2021, 33 (07)

[20] Pseudospectra of the Schrodinger operator with a discontinuous complex potential [J].

Henry, Raphael ;

Krejcirik, David .

JOURNAL OF SPECTRAL THEORY, 2017, 7 (03) :659-697

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